document.write( "Question 974073: Question
\n" );
document.write( "The points on the curve y = x3 - x2 - x + 1, where the tangent is parallel to x-axis are
\n" );
document.write( "
\n" );
document.write( "1. (1, 0), (- 1/3, 32/27)
\n" );
document.write( "2. (1, 0), (1, 1)
\n" );
document.write( "3. (- 1/3, 21/37), (0, 0)\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( "
\n" );
document.write( "Answer Explanation : y = x3-x2-x+1
\n" );
document.write( "Thus by putting value, this answer is correct.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #596091 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! The points on the curve y = x3 - x2 - x + 1, where the tangent is parallel to x-axis are \n" ); document.write( "================= \n" ); document.write( "Find the 1st derivative: \n" ); document.write( "f'(x) = 3x^2 - 2x - 1 \n" ); document.write( "Parallel to the x-axis --> slope = 0 --> f'(x) = 0 \n" ); document.write( "3x^2 - 2x - 1 = 0 \n" ); document.write( "(3x + 1)*(x - 1) = 0 \n" ); document.write( "x = -1/3, x = 1 \n" ); document.write( " \n" ); document.write( " |